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The advent of high transverse-field muon spin rotation (TF-muSR) has led torecent muSR investigations of the magnetic-field response of cuprates above thesuperconducting transition temperature T_c. Here the results of suchexperiments on hole-doped cuprates are reviewed. Although these investigationsare currently ongoing, it is clear that the effects of high field on theinternal magnetic field distribution of these materials is dependent upon acompetition between superconductivity and magnetism. In La_{2-x}Sr_xCuO_4 theresponse to the external field above Tc is dominated by heterogeneous spinmagnetism. However, the magnetism that dominates the observed inhomogeneousline broadening below x ~ 0.19 is overwhelmed by the emergence of a completelydifferent kind of magnetism in the heavily overdoped regime. The origin of themagnetism above x ~ 0.19 is currently unknown, but its presence hints at acompetition between superconductivity and magnetism that is reminiscent of theunderdoped regime. In contrast, the width of the internal field distribution ofunderdoped YBa_2Cu_3O_y above Tc is observed to track Tc and the density ofsuperconducting carriers. This observation suggests that the magnetic responseabove Tc is not dominated by electronic moments, but rather inhomogeneousfluctuating superconductivity.

High-field muSR studies of superconducting and magnetic correlations in cuprates above Tc